He may rightfully claim to want to deny citizenship; but still has been open to LPR, "lawful permanent residency". Some claim the problem with that is eventually, it will come up that a bill will come up to give LPRs the right to a pathway to citizenship. That sounds like it could happen if the Presidency and congress is ever controlled by the Democrats as in 2009 or whichever year it was when healthcare was passed.
The simplest definition of amnesty is forgiving wrongdoing, even giving "permanent residency" seems to be forgiving being in the country illegally.